PPSC One-Paper MCQ Test Mathematics & Computer Science Syllabus

Mathematics & Computer Science syllabus — full chapter and topic list

Expand any chapter to see its topics and sub-topics. This is the whole examinable outline for Mathematics & Computer Science in PPSC One-Paper MCQ Test, not a summary of it.

1. 1

   Arithmetic

   4 topics

   • Percentages, Ratio & Proportion
   • Profit, Loss & Discount
   • Average, Time & Work
   • Time, Speed & Distance
2. 2

   Algebra & Geometry

   3 topics

   • Equations & Expressions
   • Areas & Perimeters
   • Basic Geometry & Angles
3. 3

   Number System

   3 topics

   • LCM & HCF
   • Fractions & Decimals
   • Simple & Compound Interest
4. 4

   Computer Fundamentals

   4 topics

   • Hardware & Software
   • Operating Systems & MS Office
   • Networking & Internet
   • Abbreviations & Generations of Computers

Mathematics & Computer Science flashcards for PPSC One-Paper MCQ Test

24 of 50 cards from the Mathematics & Computer Science deck — real questions with worked answers.

1. What is the formula to express a fraction or part as a percentage?

   Percentage = (Part / Whole) x 100. For example, 20 out of 50 = (20/50) x 100 = 40%.

2. If a number is increased by 25% and then decreased by 25%, what is the net percentage change?

   A net decrease of 6.25%. Using a/b successive change formula: +25 - 25 - (25x25)/100 = -6.25%.

3. Define ratio and proportion.

   A ratio is a comparison of two quantities of the same kind (a:b). A proportion is a statement that two ratios are equal (a:b = c:d), where the product of means equals the product of extremes (bc = ad).

4. If a:b = 2:3 and b:c = 4:5, what is a:b:c?

   a:b:c = 8:12:15. Make b common: a:b = 8:12 and b:c = 12:15, giving 8:12:15.

5. What is the formula for Profit Percentage and Loss Percentage?

   Profit% = (Profit / Cost Price) x 100; Loss% = (Loss / Cost Price) x 100. Both are always calculated on the Cost Price (CP).

6. How is Selling Price (SP) found when Cost Price and gain percentage are known?

   SP = CP x (100 + Gain%)/100. For a loss, SP = CP x (100 - Loss%)/100.

7. How is discount calculated, and on what amount is it applied?

   Discount = Marked Price x Discount%/100. Discount is always calculated on the Marked Price (List Price), not the cost price. Selling Price = Marked Price - Discount.

8. A shopkeeper marks an item 40% above cost and gives a 10% discount. What is the net profit percentage?

   26%. Let CP = 100, MP = 140, SP after 10% discount = 126, so profit = 26%.

9. What is the formula for average (arithmetic mean)?

   Average = (Sum of all observations) / (Number of observations).

10. The average of 10 numbers is 25. If one number 30 is removed, what is the new average?

    About 24.44. Total sum = 250; after removing 30, sum = 220 over 9 numbers = 220/9 ≈ 24.44.

11. In Time and Work, if A can do a job in 'n' days, what fraction of work does A do in one day?

    1/n of the work per day. The one-day work (work rate) is the reciprocal of the total days taken.

12. If A can complete a work in 10 days and B in 15 days, how long will they take working together?

    6 days. Combined one-day work = 1/10 + 1/15 = 1/6, so together they finish in 6 days.

13. State the basic relationship between Speed, Distance, and Time.

    Speed = Distance / Time; Distance = Speed x Time; Time = Distance / Speed.

14. How do you convert a speed from km/hr to m/s?

    Multiply by 5/18. For example, 36 km/hr = 36 x 5/18 = 10 m/s. To convert m/s to km/hr, multiply by 18/5.

15. How do you compute relative speed for two objects moving toward each other and in the same direction?

    Moving toward each other (opposite directions): add the speeds. Moving in the same direction: subtract the speeds.

16. A train 100 m long travels at 36 km/hr. How long does it take to cross a pole?

    10 seconds. Speed = 36 km/hr = 10 m/s; time = distance/speed = 100/10 = 10 seconds.

17. Solve the linear equation 3x + 7 = 22 for x.

    x = 5. Subtract 7 from both sides: 3x = 15; divide by 3: x = 5.

18. What is the standard form of a quadratic equation and its quadratic formula?

    Standard form: ax^2 + bx + c = 0 (a ≠ 0). Quadratic formula: x = [-b ± √(b^2 - 4ac)] / 2a.

19. What does the discriminant (b^2 - 4ac) tell you about a quadratic equation's roots?

    If > 0, two distinct real roots; if = 0, two equal (one repeated) real roots; if < 0, two complex (no real) roots.

20. Expand the algebraic identity (a + b)^2 and (a - b)^2.

    (a + b)^2 = a^2 + 2ab + b^2; (a - b)^2 = a^2 - 2ab + b^2.

21. What is the identity for the difference of two squares, a^2 - b^2?

    a^2 - b^2 = (a + b)(a - b).

22. What is the formula for the area and perimeter of a rectangle?

    Area = length x width; Perimeter = 2 x (length + width).

23. What is the formula for the area and circumference of a circle?

    Area = πr^2; Circumference = 2πr (or πd), where r is the radius and d is the diameter.

24. What is the formula for the area of a triangle?

    Area = 1/2 x base x height. (Heron's formula: √[s(s-a)(s-b)(s-c)] where s = (a+b+c)/2.)

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